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The Interval-Valued Intuitionistic Fuzzy Optimized Weighted Bonferroni Means and Their Application
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-07-28
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We investigate and propose two new Bonferroni means, that is, the optimized weighted BM (OWBM) and the generalized optimized weighted BM (GOWBM), whose characteristics are to reflect the preference and interrelationship of the aggregated arguments and can satisfy the basic properties of the aggregation techniques simultaneously.
Further, we propose the interval-valued intuitionistic fuzzy optimized weighted Bonferroni mean (IIFOWBM) and the generalized interval-valued intuitionistic fuzzy optimized weighted Bonferroni mean (GIIFOWBM) and detailed study of their desirable properties such as idempotency, monotonicity, transformation, and boundary.
Finally, based on IIFOWBM and GIIFOWBM, we give an approach to group decision making under the interval-valued intuitionistic fuzzy environment and utilize a practical case involving the assessment of a set of agroecological regions in Hubei Province, China, to illustrate the developed methods.
American Psychological Association (APA)
Shi, Ya-ming& He, Jian-min. 2013. The Interval-Valued Intuitionistic Fuzzy Optimized Weighted Bonferroni Means and Their Application. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-513339
Modern Language Association (MLA)
Shi, Ya-ming& He, Jian-min. The Interval-Valued Intuitionistic Fuzzy Optimized Weighted Bonferroni Means and Their Application. Journal of Applied Mathematics No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-513339
American Medical Association (AMA)
Shi, Ya-ming& He, Jian-min. The Interval-Valued Intuitionistic Fuzzy Optimized Weighted Bonferroni Means and Their Application. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-513339
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-513339